Stability analysis of cross-ply laminated shells of revolution using a curved axisymmetric shell finite element

Cagdas, Izzet U.

doi:10.1016/j.tws.2011.01.005

Cited by 9 publications

(5 citation statements)

References 31 publications

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“…The finite element used here has been verified for linear static and stability analyses by Cagdas and Adali [16], and Cagdas [15] and therefore verification problems are only presented for vibration and FPF analyses as given in the following sections.…”

Section: Verification Problemsmentioning

confidence: 99%

“…Brief formulation of the semi-analytical shell element used here, which was developed recently by Cagdas [15], is given next. In this study, this shell element is modified for free vibration and FPF analyses.…”

Section: Finite Element Formulationmentioning

confidence: 99%

“…In this theory, the 1+z/R term is taken into account, where z and R denote the thickness coordinate and the radius, respectively. Using the same shell theory, Cagdas [15] has developed a curved axi-symmetric shell element, which is modified here for free vibration analysis, and Cagdas and Adali [16] have investigated the influence of pressure stiffness on the stability of cross-ply laminated moderately thick cylinders under hydrostatic pressure. In more recent studies, Cagdas [17,18] has modified the same element for the stability and stress analysis of filament wound cones.…”

Section: Introductionmentioning

confidence: 99%

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The Influence of Axial Compression on the Free Vibration Frequencies of Cross-ply Laminated and Moderately Thick Cylinders

Cagdas

2020

Politeknik Dergisi

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Bu çalışmada, eksenel basınç altındaki dik-katmanlı kompozit silindirlerin serbest titreşim davranışları dönel atalet ve kalınlık/yarıçap oranını içeren birinci mertebeden uygun bir kayma deformasyonlu kabuk teorisine dayanan yarı-analitik bir sonlu eleman kullanılarak araştırılmıştır. Öncelikle, eksenel simetrik kabuk sonlu elemanının doğrulanması için bir çalışma yapılmış ve basıncın bulunmadığı haller için geliştirilmiş sonlu eleman ile elde edilmiş titreşim frekanslarının literatürde bulunan neti celer ile çok iyi uyum içinde olduğu görülmüştür. Aynı eleman ilk katman göçme analizi için de doğrulanmış ve kayma deformasyonlu bir eğri kabuk elemanı ile ile elde edilen ilk katman göçme yükleri ile iyi uyum gözlenmiştir. Daha sonra, çeşitli sınır şartları na sahip ve burkulma ve ilk katman göçme yüklerinden düşük olacak şekilde farklı düzeylerde eksenel basınca maruz kompozit silindirler için serbest titreşim analizleri yapılmıştır. Göz önünde bulundurulan silindirik yapıların temel titreşim frekanslarında karşı gelen burkulma yüklerinin % 60 ila 80 nispetinde eksenel yük değerleri için hızla azaldığı gözlemlenmiştir. Ayrıca, bazı nispeten kalın silindirlerde ilk-katman göçme yükünün burkulma yükünden az olduğu da belirlenmiştir.

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Section: Verification Problemsmentioning

confidence: 99%

Section: Finite Element Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The Influence of Axial Compression on the Free Vibration Frequencies of Cross-ply Laminated and Moderately Thick Cylinders

Cagdas

2020

Politeknik Dergisi

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“…Umut Topal (Topal, 2009) used FOSDT to develop a new methodology based on FEA for the optimum design of a thin cylindrical shell composed of composite material under external load. Cadges (Cagdas, 2011) used FOSDT to carry out elastic buckling analysis of cross-ply laminated shells of revolution under compressive loads. The linear stability analysis was done by him.…”

Section: Introductionmentioning

confidence: 99%

Analytical modeling of cross-ply cylindrical composite submersible shell with elastic buckling using first order shear deformation theory

et al. 2022

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The main objective of this study is to design composite shells i.e. long, short, thin and thick for the different underwater applications. These shells can be a part of pressure hulls, underwater vehicles, pressurized tanks, underwater cables and underwater pipelines etc. This paper presents comprehensive procedures for the mathematical modeling of elastic buckling for submersible composite shells under hydrostatic pressure. First order shear deformation theory (FOSDT) was used for modeling. FOSDT theory was mathematically derived under hydrostatic pressure for composite shells, and it can be used for all types of submersible shells. After the derivation of the theory, mathematical code was formed on MATLAB for this modeling. From the given formulation one can design the shell structure according to his needs on different environment conditions. Different types of composite shells, including moderately thick, thick, long, and short, are investigated for the FOSDT formulation to check the accuracy range. The results were compared with previous studies and finite element analysis FEA. Three types of materials, Carbon/Epoxy, Glass/Epoxy, and Boron/Epoxy, were used with different cross-ply symmetric and unsymmetrical angle configurations. The layups used for the analysis were [0/90/0]s [90/0/90/0]s [02/902]s [90/02/90]s [0/902/0]s [0/0/0/90]s [90/90/90/0]s and [0/90].

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“…Ferreira et al [19] used HSDT to study the buckling characteristic of composite laminates. Cagdas [20] used a curved axisymmetric shell finite element to present buckling laminated of composite laminated shells. Tang and Wang [21] used the classical laminate plate theory to calculate critical buckling loads of composite laminates under in-plane compression.…”

Section: Introductionmentioning

confidence: 99%

Dual-axis buckling of laminated composite skew hyperbolic paraboloids with openings

Chaubey

Jha

Kumar

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

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The dual-axis buckling of Laminated composite skew hyperbolic paraboloid with cutouts subjected to the in-plane biaxial and the shear load is investigated for various boundary conditions using the present mathematical model. Variation of transverse shear stresses is represented by a second-order function across the thickness, and the cross-curvature effect is also included via strain relations. The transverse shear stress-free condition at the shell top and bottom surfaces is also satisfied. This mathematical model (having a realistic second-order distribution of transverse shear strains across the thickness of shell) requires unknown parameters only at the reference plane. For generality in the present analysis, nine-node curved isoparametric element is used. So far, no solution exists in the literature for dual-axis buckling problem of laminated composite skew hyperbolic paraboloids with cutouts. As no result is available for the present problem, the present model is compared with suitable published results and then it is extended to analyze biaxial and shear buckling of laminated composite skew hyperbolic paraboloids. A C 0 finite element coding in FORTRAN is developed to generate many new results for different boundary conditions, skew angles, lamination schemes, etc.

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Stability analysis of cross-ply laminated shells of revolution using a curved axisymmetric shell finite element

Cited by 9 publications

References 31 publications

The Influence of Axial Compression on the Free Vibration Frequencies of Cross-ply Laminated and Moderately Thick Cylinders

The Influence of Axial Compression on the Free Vibration Frequencies of Cross-ply Laminated and Moderately Thick Cylinders

Analytical modeling of cross-ply cylindrical composite submersible shell with elastic buckling using first order shear deformation theory

Dual-axis buckling of laminated composite skew hyperbolic paraboloids with openings

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